what do you mean by symmetric and antisymmetric wave function?
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Symmetric / antisymmetric wave functions
We have to construct the wave function for a system of identical particles so that it reflects the requirement that the particles are indistinguishable from each other. Mathematically, this means interchanging the particles occupying any pair of states should not change the probability density ($\vert\Psi\vert^2$) of the system. This simple statement has the enormous consequence of dividing all particles in nature into one of two classes
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